Symplectic geometry seminar

The topological entropy of geodesic flows has been extensively studied since the foundational works of Dinaburg and Manning. It measures the exponential complexity of the geodesic flow of a Riemannian manifold, and there are several results...

The quantum connection is a flat connection arising from genus 0 Gromov--Witten theory. They can be defined integrally for sufficiently positive symplectic manifolds, allowing one to consider their characteristic p or p-adic versions which bear...

A well-known result of Abouzaid says that the wrapped Fukaya category of a cotangent bundle is generated by one cotangent fiber. In the filtered case this is not true, but the filtered Fukaya category comes with a notion of interleaving distance. We...

The theory of higher Reidemeister torsion yields characteristic classes of (stable) fiber bundles of smooth manifolds. We use this theory to define a new family of invariants for Legendrians in 1-jet spaces which we collectively call Legendrian...

In this talk, I will describe the global dynamics of the spatial isosceles three-body problem, using ideas from Embedded Contact Homology. For energies below the critical level, the flow admits a disk-like global surface of section bounded by the...